Secondary-level algebra, geometry, and statistics content knowledge tested on the Praxis Mathematics content exam, distinct from the Praxis Core basic skills math test.
42 cards · basic cards · AI-written, checked twice. Edit anything.
- What is the quadratic formula?
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x = (-b ± √(b² - 4ac)) / (2a)- What does the discriminant tell you about a quadratic equation?
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If b² - 4ac > 0, two real roots; if = 0, one real root; if < 0, no real roots- What is the vertex form of a quadratic equation?
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y = a(x - h)² + k, where the vertex is (h, k)- State the Factor Theorem.
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(x - a) is a factor of f(x) if and only if f(a) = 0- State the Remainder Theorem.
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When f(x) is divided by (x - a), the remainder is f(a)- What does the Rational Root Theorem identify?
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Possible rational roots are ±(factors of constant term) / (factors of leading coefficient)- What is the general form of an arithmetic sequence?
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a, a + d, a + 2d, a + 3d, ..., where a is first term and d is common difference- What is the general form of a geometric sequence?
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a, ar, ar², ar³, ..., where a is first term and r is common ratio- Sum formula for a finite arithmetic series.
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S_n = n(a₁ + a_n) / 2- Sum formula for a finite geometric series.
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S_n = a(1 - r^n) / (1 - r), when r ≠ 1- When does an infinite geometric series converge, and to what?
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When |r| < 1, the sum equals a / (1 - r)- State the Pythagorean Theorem.
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In a right triangle, a² + b² = c², where c is the hypotenuse- What is the SSS congruence postulate?
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Two triangles are congruent if all three pairs of corresponding sides are equal- What is the SAS congruence postulate?
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Two triangles are congruent if two sides and the included angle are equal- What is the ASA congruence postulate?
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Two triangles are congruent if two angles and the included side are equal
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